Can the Jewish people continue with minimal religious involvement?

The Jewish people probably cannot continue as an identifiable group without significant religious involvement. This was not generally the case before the middle of the 20th century because Jews were clearly defined as "different" whether or not they observed any religious practices. They were Jews whether or not they wanted to be and they often lived in enclaves separated from the indigenous population. The inability of Jews to merge into the broader society was made brutally clear when even fully acculturated Jews in Germany, including those who had converted to Christianity, were arrested and murdered if they had a single Jewish grandparent. However, since WWII, and particularly in the United States, Judaism is being killed by kindness. Jews are widely accepted by non-Jews as both friends and as marital partners. Thus, if a person who identifies with Jews as a people, but feels religion is of little importance, marries a non-Jew, their children are less likely than their Jewish parent to feel ethnically Jewish and even less likely to feel they are Jewish by religion. If the non-Jewish spouse is more religious than the Jewish one, the former's religious identity is more likely to be passed on to the children.
Most Israelis are not religious, yet they can easily feel ethnically Jewish because they live in the Jewish state. However, even such Israelis seem to know that, without the religion, Judaism as a peoplehood cannot and will not continue to exist. This is made obvious by the special privileges given to the small ultra-orthodox percentage of the population, e.g. exemption from military service and generous welfare benefits. The non-religious Jews are willing to sacrifice financially and risk life-and-limb to allow the religious core to survive and thrive, because they know that, without the core, the apple will die.